Please show the work.

1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?

2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

el inverso de 13/25 es
​

Is the following statement true or false? The intersection of a plane and a ray can be a line segment. true false​

The laptop was marked down from $895 to $720. What was the percentage decrease

la suma de las medidas de dos ángulos 80 grados y el complemento del primer ángulo es el doble de la medida del ángulo calcule la diferencia de las medidas de dichos ángulos​

4.6.PS-14 Error Analysis On a math test a student, Sarah, has to identify all the coefficients an the expression 7n + 2 + m. Sarah says that 7 is a coefficient and 2 is a constant. Identi coefficients and constants of the expression. What error might Sarah have made? The coefficient(s) of the expression is/are (Use a comma to separate answers as needed.) ​

How to you multiply 1/10 X 1.4?

I need help on how to fill a deposit slip, please someone help with details and dont abuse for points.. I want to learn how rather than give the answer.​

you have one sheet of 18 stickers. If you put an equal amount of stickers on 3 sheets of paper, how many stickers will be on each page?

A typist type 1800 words in 1 hour. find the number of words she can type per minute.

What is the first step to solving this equation?
-5c + 6 = -4
A
Subtract 6 from both sides.
B
Multiply both sides by 5.
C
Divide both sides by -5.
D
Add 6 to both sides.

Sara and Macki were doing a math activity together in class. They were told to review the two problem solutions shown below and determine which of the two cards is correctly solved.

Which of the two cards is correctly solved?

two possible proper fractions such that their sum is 1 1/2

Which points are solutions to the linear inequality y < 0.5x +
2? Select three options.​

The radius of a circle is 15.2 ft. Find the circumference to the nearest tenth.

6x-3y=15 y=2x-5 help meeeeeeeeeeew

Josh bought 5 pairs of $20 jeans. He also bought two shirts that were $13 each minus a $3 clearance
discount on each shirt. Finally he made a stop to get cookies for his party. The cookies cost $3 per dozen and
he needed 8 dozen. Which expression represents Josh's purchases? What was Josh's total money spent?

The gondola conductor charges $2 for
each yodeler and $1 for each xylophone.
It costs $40 for the entire club, including
the xylophones, to ride the gondola.
Two yodelers can share a xylophone, so
the number of yodelers on the gondola is
twice the number of xylophones.
How many yodelers and how many
xylophones are on the gondola? Represent this problem with a system of equations. Let x represent the number of xylophones and let y be the number of yodelers.

The ratio of boys to girls in a school is 7:4.
What fraction of the students are boys?

I’ll mark the brainless plz help
Yes

please help i want help explain

how many thousands are there in each of the following 14060. Thosands
​

Please help me!!!!!!!!​

How do you find the missing side

simplify the first expression 5(m+1)-1=

HELP ME ILL FRIEND U OR WHATEVER ANYTHING JUST HELP

BRAINLIEST WILL GIVE

19. Find the mean, median, and mode for the following
data set:
28 -31 26 0 31 -23

the distributive property of 8(a+4)

can someone help with this plz:)

For every 2 hours, there are 7,200 seconds. Which equation best represents the number of seconds s na given
number of hours, h?